New solutions of the 2 + 1 dimensional BKP equation through symmetry analysis: Source and sink solutions, creation and diffusion of breathers...

Chaos, Solitons and Fractals

Volumn 20, Issue 5, 2004, Pages 1091-1102

  Medina, Elena ^a   Marín, María José ^a  

^a UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; CHAOS THEORY; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

LINE SOLITONS; SINK SOLUTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0346094011     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.09.027     Document Type: Article

References (14)

1. Bluman G.W., Kumei S. Symmetries and differential equations. 1989;Springer Verlag, Berlin.
2. Champagne B., Winternitz P. On the infinite-dimensional symmetry group of the Davey-Stewartson equations. J. Math. Phys. 29(1):1988;1-8.
3. Date E., Jimbo M., Kashiwara M., Miwa T. Transformation groups for soliton equations. IV. A new hierarchy of soliton equations of KP type. Physica D. 4:1982;343-365.
4. David D., Kamran N., Levi D., Winternitz P. Symmetry reduction for the Kadomtsev-Petviashvili equation using a loop algebra. J. Math. Phys. 27(5):1986;1225-1237.
5. Fokas A.S., Santini P.M. Coherent structures in multidimensions. Phys. Rev. Lett. 63:1989;1329-1333.
6. Hernández R., Martínez Alonso L., Medina E. Fusion and fission of dromions in the Davey-Stewartson equation. Phys. Lett. A. 152:1991;37-41.
7. Jaulent M., Manna M., Martínez Alonso L. Fermionic analysis of the Davey-Stewartson dromions. Phys. Lett. A. 151:1990;303-307.
8. Jimbo, Miwa M. Solitons and infinite-dimensional Lie algebras. Publ. RIMS Kyoto Univer. 19:1983;943-1001.
9. Martínez Alonso L., Medina Reus E., Olmedilla Moreno E. Breathers in 2. + 1 dimensions Phys. Lett. A. 159:1991;384-389.
10. Medina E., Marín M.J. Interaction processes with the radiation for the KP equation, through symmetry transformations. Chaos, Solitons & Fractals. 19(1):2004;129-149.
11. Medina E, Marín MJ. Source and sink solution, finite time blow-up, diffusion, creation and annihilation processes in the Davey-Stewartson equation. Chaos, Solitons & Fractals, in press.
12. Olver P.J. Applications of Lie groups to differential equations. 1986;Springer Verlag, Berlin.
13. Ovsiannikov L.V. Group analysis of differential equations. 1982;Academic Press, New York.
14. Tajiri M., Nishitani T., Kawamoto S. Similarity solutions of the Kadomtsev-Petviashvili equation. J. Phys. Soc. Jpn. 51(7):1982;2350-2356.